<TeXmacs|2.1.1>

<style|<tuple|generic|std-latex|chinese>>

<\body>
  <doc-data|<doc-title|2021\<#5E74\>\<#5168\>\<#56FD\>\<#65B0\>\<#9AD8\>\<#8003\>II\<#5377\>\<#6570\>\<#5B66\>\<#8BD5\>\<#9898\>>>

  <\with|font-series|bold>
    \<#4E00\>\<#3001\>\<#5355\>\<#9009\>\<#9898\>
  </with>

  1\<#FF0E\>\<#590D\>\<#6570\><math|<frac|2-i|1-3*i>>\<#5728\>\<#590D\>\<#5E73\>\<#9762\>\<#5185\>\<#5BF9\>\<#5E94\>\<#7684\>\<#70B9\>\<#6240\>\<#5728\>\<#7684\>\<#8C61\>\<#9650\>\<#4E3A\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\>\<#7B2C\>\<#4E00\>\<#8C61\>\<#9650\>>|<cell|B\<#FF0E\>\<#7B2C\>\<#4E8C\>\<#8C61\>\<#9650\>>|<cell|C\<#FF0E\>\<#7B2C\>\<#4E09\>\<#8C61\>\<#9650\>>|<cell|D\<#FF0E\>\<#7B2C\>\<#56DB\>\<#8C61\>\<#9650\>>>>>>\ 

  2\<#FF0E\>\<#8BBE\>\<#96C6\>\<#5408\><math|U=<around|{|1,2,3,4,5,6|}>,A=<around|{|1,3,6|}>,B=<around|{|2,3,4|}>>\<#FF0C\>\<#5219\><math|A\<cap\><around*|(|\<complement\><rsub|U>*B|)>=>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\><math|<around|{|3|}>>>|<cell|B\<#FF0E\><math|<around|{|1,6|}>>>|<cell|C\<#FF0E\><math|<around|{|5,6|}>>>|<cell|D\<#FF0E\><math|<around|{|1,3|}>>>>>>>\ 

  3\<#FF0E\>\<#629B\>\<#7269\>\<#7EBF\><math|y<rsup|2>=2*p*x*<around|(|p\<gtr\>0|)>>\<#7684\>\<#7126\>\<#70B9\>\<#5230\>\<#76F4\>\<#7EBF\><math|y=x+1>\<#7684\>\<#8DDD\>\<#79BB\>\<#4E3A\><math|<sqrt|2>>\<#FF0C\>\<#5219\><math|p=>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\>1>|<cell|B\<#FF0E\>2>|<cell|C\<#FF0E\><math|2*<sqrt|2>>>|<cell|D\<#FF0E\>4>>>>>\ 

  4\<#FF0E\>\<#5317\>\<#6597\>\<#4E09\>\<#53F7\>\<#5168\>\<#7403\>\<#536B\>\<#661F\>\<#5BFC\>\<#822A\>\<#7CFB\>\<#7EDF\>\<#662F\>\<#6211\>\<#56FD\>\<#822A\>\<#5929\>\<#4E8B\>\<#4E1A\>\<#7684\>\<#91CD\>\<#8981\>\<#6210\>\<#679C\>\<#FF0E\>\<#5728\>\<#536B\>\<#661F\>\<#5BFC\>\<#822A\>\<#7CFB\>\<#7EDF\>\<#4E2D\>\<#FF0C\>\<#5730\>\<#7403\>\<#9759\>\<#6B62\>\<#540C\>\<#6B65\>\<#536B\>\<#661F\>\<#7684\>\<#8F68\>\<#9053\>\<#4F4D\>\<#4E8E\>\<#5730\>\<#7403\>\<#8D64\>\<#9053\>\<#6240\>\<#5728\>\<#5E73\>\<#9762\>\<#FF0C\>\<#8F68\>\<#9053\>\<#9AD8\>\<#5EA6\>\<#4E3A\><math|36000>km\<#FF08\>\<#8F68\>\<#9053\>\<#9AD8\>\<#5EA6\>\<#662F\>\<#6307\>\<#536B\>\<#661F\>\<#5230\>\<#5730\>\<#7403\>\<#8868\>\<#9762\>\<#7684\>\<#8DDD\>\<#79BB\>\<#FF09\>\<#FF0E\>\<#5C06\>\<#5730\>\<#7403\>\<#770B\>\<#4F5C\>\<#662F\>\<#4E00\>\<#4E2A\>\<#7403\>\<#5FC3\>\<#4E3A\><em|O>\<#FF0C\>\<#534A\>\<#5F84\><em|r>\<#4E3A\><math|6400>km\<#7684\>\<#7403\>\<#FF0C\>\<#5176\>\<#4E0A\>\<#70B9\><em|A>\<#7684\>\<#7EAC\>\<#5EA6\>\<#662F\>\<#6307\><math|O*A>\<#4E0E\>\<#8D64\>\<#9053\>\<#5E73\>\<#9762\>\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#5EA6\>\<#6570\>\<#FF0E\>\<#5730\>\<#7403\>\<#8868\>\<#9762\>\<#4E0A\>\<#80FD\>\<#76F4\>\<#63A5\>\<#89C2\>\<#6D4B\>\<#5230\>\<#4E00\>\<#9897\>\<#5730\>\<#7403\>\<#9759\>\<#6B62\>\<#540C\>\<#6B65\>\<#8F68\>\<#9053\>\<#536B\>\<#661F\>\<#70B9\>\<#7684\>\<#7EAC\>\<#5EA6\>\<#6700\>\<#5927\>\<#503C\>\<#4E3A\><math|\<alpha\>>\<#FF0C\>\<#8BB0\>\<#536B\>\<#661F\>\<#4FE1\>\<#53F7\>\<#8986\>\<#76D6\>\<#5730\>\<#7403\>\<#8868\>\<#9762\>\<#7684\>\<#8868\>\<#9762\>\<#79EF\>\<#4E3A\><math|S=2*\<pi\>*r<rsup|2>*<around|(|1-cos
  \<alpha\>|)>>\<#FF08\>\<#5355\>\<#4F4D\>\<#FF1A\>km<rsup|<math|2>>\<#FF09\>\<#FF0C\>\<#5219\><em|S>\<#5360\>\<#5730\>\<#7403\>\<#8868\>\<#9762\>\<#79EF\>\<#7684\>\<#767E\>\<#5206\>\<#6BD4\>\<#7EA6\>\<#4E3A\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\>26%>|<cell|B\<#FF0E\>34%>|<cell|C\<#FF0E\>42%>|<cell|D\<#FF0E\>50%>>>>>\ 

  5\<#FF0E\>\<#6B63\>\<#56DB\>\<#68F1\>\<#53F0\>\<#7684\>\<#4E0A\>\<#FF64\>\<#4E0B\>\<#5E95\>\<#9762\>\<#7684\>\<#8FB9\>\<#957F\>\<#5206\>\<#522B\>\<#4E3A\>2\<#FF0C\>4\<#FF0C\>\<#4FA7\>\<#68F1\>\<#957F\>\<#4E3A\>2\<#FF0C\>\<#5219\>\<#5176\>\<#4F53\>\<#79EF\>\<#4E3A\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\><math|20+12*<sqrt|3>>>|<cell|B\<#FF0E\><math|28*<sqrt|2>>>|<cell|C\<#FF0E\><math|<frac|56|3>>>|<cell|D\<#FF0E\><math|<frac|28*<sqrt|2>|3>>>>>>>\ 

  6\<#FF0E\>\<#67D0\>\<#7269\>\<#7406\>\<#91CF\>\<#7684\>\<#6D4B\>\<#91CF\>\<#7ED3\>\<#679C\>\<#670D\>\<#4ECE\>\<#6B63\>\<#6001\>\<#5206\>\<#5E03\><math|N<around*|(|10,\<sigma\><rsup|2>|)>>\<#FF0C\>\<#4E0B\>\<#5217\>\<#7ED3\>\<#8BBA\>\<#4E2D\>\<#4E0D\>\<#6B63\>\<#786E\>\<#7684\>\<#662F\>\<#FF08\><space|1.2em>\<#FF09\>

  A\<#FF0E\><math|\<sigma\>>\<#8D8A\>\<#5C0F\>\<#FF0C\>\<#8BE5\>\<#7269\>\<#7406\>\<#91CF\>\<#5728\>\<#4E00\>\<#6B21\>\<#6D4B\>\<#91CF\>\<#4E2D\>\<#5728\><math|<around|(|9.9,10.1|)>>\<#7684\>\<#6982\>\<#7387\>\<#8D8A\>\<#5927\>

  B\<#FF0E\><math|\<sigma\>>\<#8D8A\>\<#5C0F\>\<#FF0C\>\<#8BE5\>\<#7269\>\<#7406\>\<#91CF\>\<#5728\>\<#4E00\>\<#6B21\>\<#6D4B\>\<#91CF\>\<#4E2D\>\<#5927\>\<#4E8E\>10\<#7684\>\<#6982\>\<#7387\>\<#4E3A\>0.5

  C\<#FF0E\><math|\<sigma\>>\<#8D8A\>\<#5C0F\>\<#FF0C\>\<#8BE5\>\<#7269\>\<#7406\>\<#91CF\>\<#5728\>\<#4E00\>\<#6B21\>\<#6D4B\>\<#91CF\>\<#4E2D\>\<#5C0F\>\<#4E8E\>9.99\<#4E0E\>\<#5927\>\<#4E8E\>10.01\<#7684\>\<#6982\>\<#7387\>\<#76F8\>\<#7B49\>

  D\<#FF0E\><math|\<sigma\>>\<#8D8A\>\<#5C0F\>\<#FF0C\>\<#8BE5\>\<#7269\>\<#7406\>\<#91CF\>\<#5728\>\<#4E00\>\<#6B21\>\<#6D4B\>\<#91CF\>\<#4E2D\>\<#843D\>\<#5728\><math|<around|(|9.9,10.2|)>>\<#4E0E\>\<#843D\>\<#5728\><math|<around|(|10,10.3|)>>\<#7684\>\<#6982\>\<#7387\>\<#76F8\>\<#7B49\>

  7\<#FF0E\>\<#5DF2\>\<#77E5\><math|a=log<rsub|5>2>\<#FF0C\><math|b=log<rsub|8>3>\<#FF0C\><math|c=<frac|1|2>>\<#FF0C\>\<#5219\>\<#4E0B\>\<#5217\>\<#5224\>\<#65AD\>\<#6B63\>\<#786E\>\<#7684\>\<#662F\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\><math|c\<less\>b\<less\>a>>|<cell|B\<#FF0E\><math|b\<less\>a\<less\>c>>|<cell|C\<#FF0E\><math|a\<less\>c\<less\>b>>|<cell|D\<#FF0E\><math|a\<less\>b\<less\>c>>>>>>\ 

  8\<#FF0E\>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>>\<#7684\>\<#5B9A\>\<#4E49\>\<#57DF\>\<#4E3A\><math|<math-bf|R>>\<#FF0C\><math|f*<around|(|x+2|)>>\<#4E3A\>\<#5076\>\<#51FD\>\<#6570\>\<#FF0C\><math|f*<around|(|2*x+1|)>>\<#4E3A\>\<#5947\>\<#51FD\>\<#6570\>\<#FF0C\>\<#5219\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\><math|f*<around*|(|-<frac|1|2>|)>=0>>|<cell|B\<#FF0E\><math|f*<around|(|-1|)>=0>>|<cell|C\<#FF0E\><math|f<around|(|2|)>=0>>|<cell|D\<#FF0E\><math|f<around|(|4|)>=0>>>>>>\ 

  <with|font-series|bold|\<#4E8C\>\<#3001\>\<#591A\>\<#9009\>\<#9898\>>

  9\<#FF0E\>\<#4E0B\>\<#5217\>\<#7EDF\>\<#8BA1\>\<#91CF\>\<#4E2D\>\<#FF0C\>\<#80FD\>\<#5EA6\>\<#91CF\>\<#6837\>\<#672C\><math|x<rsub|1>,x<rsub|2>,\<cdots\>,x<rsub|n>>\<#7684\>\<#79BB\>\<#6563\>\<#7A0B\>\<#5EA6\>\<#7684\>\<#662F\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\>\<#6837\>\<#672C\><math|x<rsub|1>,x<rsub|2>,\<cdots\>,x<rsub|n>>\<#7684\>\<#6807\>\<#51C6\>\<#5DEE\>>|<cell|B\<#FF0E\>\<#6837\>\<#672C\><math|x<rsub|1>,x<rsub|2>,\<cdots\>,x<rsub|n>>\<#7684\>\<#4E2D\>\<#4F4D\>\<#6570\>>>|<row|<cell|C\<#FF0E\>\<#6837\>\<#672C\><math|x<rsub|1>,x<rsub|2>,\<cdots\>,x<rsub|n>>\<#7684\>\<#6781\>\<#5DEE\>>|<cell|D\<#FF0E\>\<#6837\>\<#672C\><math|x<rsub|1>,x<rsub|2>,\<cdots\>,x<rsub|n>>\<#7684\>\<#5E73\>\<#5747\>\<#6570\>>>>>>\ 

  10\<#FF0E\>\<#5982\>\<#56FE\>\<#FF0C\>\<#5728\>\<#6B63\>\<#65B9\>\<#4F53\>\<#4E2D\>\<#FF0C\><em|O>\<#4E3A\>\<#5E95\>\<#9762\>\<#7684\>\<#4E2D\>\<#5FC3\>\<#FF0C\><em|P>\<#4E3A\>\<#6240\>\<#5728\>\<#68F1\>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\><em|M>\<#FF0C\><em|N>\<#4E3A\>\<#6B63\>\<#65B9\>\<#4F53\>\<#7684\>\<#9876\>\<#70B9\>\<#FF0E\>\<#5219\>\<#6EE1\>\<#8DB3\><math|M*N*\<bot\>*O*P>\<#7684\>\<#662F\>\<#FF08\><space|1.2em>\<#FF09\>

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|png>|.2par|||>

  11\<#FF0E\>\<#5DF2\>\<#77E5\>\<#76F4\>\<#7EBF\><math|l:a*x+b*y-r<rsup|2>=0>\<#4E0E\>\<#5706\><math|C:x<rsup|2>+y<rsup|2>=r<rsup|2>>\<#FF0C\>\<#70B9\><math|A*<around|(|a,b|)>>\<#FF0C\>\<#5219\>\<#4E0B\>\<#5217\>\<#8BF4\>\<#6CD5\>\<#6B63\>\<#786E\>\<#7684\>\<#662F\>\<#FF08\><space|1.2em>\<#FF09\>

  A\<#FF0E\>\<#82E5\>\<#70B9\><em|A>\<#5728\>\<#5706\><em|C>\<#4E0A\>\<#FF0C\>\<#5219\>\<#76F4\>\<#7EBF\><em|l>\<#4E0E\>\<#5706\><em|C>\<#76F8\>\<#5207\>\ 

  B\<#FF0E\>\<#82E5\>\<#70B9\><em|A>\<#5728\>\<#5706\><em|C>\<#5185\>\<#FF0C\>\<#5219\>\<#76F4\>\<#7EBF\><em|l>\<#4E0E\>\<#5706\><em|C>\<#76F8\>\<#79BB\>

  C\<#FF0E\>\<#82E5\>\<#70B9\><em|A>\<#5728\>\<#5706\><em|C>\<#5916\>\<#FF0C\>\<#5219\>\<#76F4\>\<#7EBF\><em|l>\<#4E0E\>\<#5706\><em|C>\<#76F8\>\<#79BB\>\ 

  D\<#FF0E\>\<#82E5\>\<#70B9\><em|A>\<#5728\>\<#76F4\>\<#7EBF\><em|l>\<#4E0A\>\<#FF0C\>\<#5219\>\<#76F4\>\<#7EBF\><em|l>\<#4E0E\>\<#5706\><em|C>\<#76F8\>\<#5207\>

  12\<#FF0E\>\<#8BBE\>\<#6B63\>\<#6574\>\<#6570\><math|n=a<rsub|0>\<cdot\>2<rsup|0>+a<rsub|1>\<cdot\>2+\<cdots\>+a<rsub|k-1>\<cdot\>2<rsup|k-1>+a<rsub|k>\<cdot\>2<rsup|k>>\<#FF0C\>\<#5176\>\<#4E2D\><math|a<rsub|i>\<in\><around*|{|0,1|}>>\<#FF0C\>\<#8BB0\><math|\<omega\><around|(|n|)>=a<rsub|0>+a<rsub|1>+\<cdots\>+a<rsub|k>>\<#FF0E\>\<#5219\>\<#FF08\><space|1.2em>\<#FF09\>

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|A\<#FF0E\><math|\<omega\>*<around|(|2*n|)>=\<omega\><around|(|n|)>>>|<cell|B\<#FF0E\><math|\<omega\>*<around|(|2*n+3|)>=\<omega\><around|(|n|)>+1>>>|<row|<cell|C\<#FF0E\><math|\<omega\>*<around|(|8*n+5|)>=\<omega\>*<around|(|4*n+3|)>>>|<cell|D\<#FF0E\><math|\<omega\>*<around*|(|2<rsup|n>-1|)>=n>>>>>>\ 

  <with|font-series|bold|\<#4E09\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>>

  13\<#FF0E\>\<#82E5\>\<#53CC\>\<#66F2\>\<#7EBF\><math|<frac|x<rsup|2>|a<rsup|2>>-<frac|y<rsup|2>|b<rsup|2>>=1>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\>2\<#FF0C\>\<#5219\>\<#6B64\>\<#53CC\>\<#66F2\>\<#7EBF\>\<#7684\>\<#6E10\>\<#8FD1\>\<#7EBF\>\<#65B9\>\<#7A0B\><underline|<space|2cm>>\<#FF0E\>

  14\<#FF0E\>\<#5199\>\<#51FA\>\<#4E00\>\<#4E2A\>\<#540C\>\<#65F6\>\<#5177\>\<#6709\>\<#4E0B\>\<#5217\>\<#6027\>\<#8D28\>\<#2460\>\<#2461\>\<#2462\>\<#7684\>\<#51FD\>\<#6570\><math|f<around|(|x|)>>:
  <underline|<space|2cm>>\<#FF0E\>

  \<#2460\><math|f*<around*|(|x<rsub|1>*x<rsub|2>|)>=f<around*|(|x<rsub|1>|)>*f<around*|(|x<rsub|2>|)>>\<#FF1B\>\<#2461\>\<#5F53\><math|x\<in\>
  <around*|(|0,+\<infty\>|)>>\<#65F6\>\<#FF0C\><math|f<rprime|'><around|(|x|)>\<gtr\>0>\<#FF1B\>\<#2462\><math|f<rprime|'><around|(|x|)>>\<#662F\>\<#5947\>\<#51FD\>\<#6570\>\<#FF0E\>

  15\<#FF0E\>\<#5DF2\>\<#77E5\>\<#5411\>\<#91CF\><math|<wide|a|\<wide-varrightarrow\>>+<wide|b|\<wide-varrightarrow\>>+<wide|c|\<wide-varrightarrow\>>=<wide|0|\<wide-varrightarrow\>>>\<#FF0C\><math|<around*|\||<wide|a|\<wide-varrightarrow\>>|\|>=1>\<#FF0C\><math|<around*|\||<wide|b|\<wide-varrightarrow\>>|\|>=<around*|\||<wide|c|\<wide-varrightarrow\>>|\|>=2>\<#FF0C\><math|<wide|a|\<wide-varrightarrow\>>\<cdot\><wide|b|\<wide-varrightarrow\>>+<wide|b|\<wide-varrightarrow\>>\<cdot\><wide|c|\<wide-varrightarrow\>>+<wide|c|\<wide-varrightarrow\>>\<cdot\><wide|a|\<wide-varrightarrow\>>=><underline|<space|2cm>>\<#FF0E\>

  16\<#FF0E\>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<around*|\||e<rsup|x>-1|\|>,x<rsub|1>\<less\>0,x<rsub|2>\<gtr\>0>\<#FF0C\>\<#51FD\>\<#6570\><math|f<around|(|x|)>>\<#7684\>\<#56FE\>\<#8C61\>\<#5728\>\<#70B9\><math|A*<around*|(|x<rsub|1>,f<around*|(|x<rsub|1>|)>|)>>\<#548C\>\<#70B9\><math|B*<around*|(|x<rsub|2>,f<around*|(|x<rsub|2>|)>|)>>\<#7684\>\<#4E24\>\<#6761\>\<#5207\>\<#7EBF\>\<#4E92\>\<#76F8\>\<#5782\>\<#76F4\>\<#FF0C\>\<#4E14\>\<#5206\>\<#522B\>\<#4EA4\><em|y>\<#8F74\>\<#4E8E\><em|M>\<#FF0C\><em|N>\<#4E24\>\<#70B9\>\<#FF0C\>\<#5219\><math|<frac|<around|\||A*M|\|>|<around|\||B*N|\|>>>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\><underline|<space|2cm>>\<#FF0E\>

  <with|font-series|bold|\<#56DB\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>>

  17\<#FF0E\>\<#8BB0\><math|S<rsub|n>>\<#662F\>\<#516C\>\<#5DEE\>\<#4E0D\>\<#4E3A\>0\<#7684\>\<#7B49\>\<#5DEE\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#524D\><em|n>\<#9879\>\<#548C\>\<#FF0C\>\<#82E5\><math|a<rsub|3>=S<rsub|5>,a<rsub|2>*a<rsub|4>=S<rsub|4>>\<#FF0E\>

  \<#FF08\>1\<#FF09\>\<#6C42\>\<#6570\>\<#5217\><math|<around*|{|a<rsub|n>|}>>\<#7684\>\<#901A\>\<#9879\>\<#516C\>\<#5F0F\><math|a<rsub|n>>\<#FF1B\>

  \<#FF08\>2\<#FF09\>\<#6C42\>\<#4F7F\><math|S<rsub|n>\<gtr\>a<rsub|n>>\<#6210\>\<#7ACB\>\<#7684\><em|n>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#FF0E\><vspace|3cm>

  18\<#FF0E\>\<#5728\><math|\<triangle\>A*B*C>\<#4E2D\>\<#FF0C\>\<#89D2\><math|A>\<#3001\><math|B>\<#3001\><math|C>\<#6240\>\<#5BF9\>\<#7684\>\<#8FB9\>\<#957F\>\<#5206\>\<#522B\>\<#4E3A\><math|a>\<#3001\><math|b>\<#3001\><math|c>\<#FF0C\><math|b=a+1>\<#FF0C\><math|c=a+2>.

  \<#FF08\>1\<#FF09\>\<#82E5\><math|2*sin C=3*sin
  A>\<#FF0C\>\<#6C42\><math|\<triangle\>A*B*C>\<#7684\>\<#9762\>\<#79EF\>\<#FF1B\>

  \<#FF08\>2\<#FF09\>\<#662F\>\<#5426\>\<#5B58\>\<#5728\>\<#6B63\>\<#6574\>\<#6570\><math|a>\<#FF0C\>\<#4F7F\>\<#5F97\><math|\<triangle\>A*B*C>\<#4E3A\>\<#949D\>\<#89D2\>\<#4E09\>\<#89D2\>\<#5F62\>?\<#82E5\>\<#5B58\>\<#5728\>\<#FF0C\>\<#6C42\>\<#51FA\><math|a>\<#7684\>\<#503C\>\<#FF1B\>\<#82E5\>\<#4E0D\>\<#5B58\>\<#5728\>\<#FF0C\>\<#8BF4\>\<#660E\>\<#7406\>\<#7531\>\<#FF0E\><vspace|3cm>

  19\<#FF0E\>\<#5728\>\<#56DB\>\<#68F1\>\<#9525\><math|Q-A*B*C*D>\<#4E2D\>\<#FF0C\>\<#5E95\>\<#9762\><math|A*B*C*D>\<#662F\>\<#6B63\>\<#65B9\>\<#5F62\>\<#FF0C\>\<#82E5\><math|A*D=2,Q*D=Q*A=<sqrt|5>,Q*C=3>\<#FF0E\>

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  22\<#FF0E\>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<around|(|x-1|)>*e<rsup|x>-a*x<rsup|2>+b>\<#FF0E\>

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</body>

<initial|<\collection>
</collection>>